Mathematical categories provide an abstract and general framework for logic and mathematics. As such, they could be used by philosophers in all the basic fields of the discipline: semantics, epistemology and ontology. In this paper, we present the basic definitions and notions and suggest some of the ways categories are starting to infiltrate formal philosophy.

In the course of this paper, I shall argue that an absolute ineffable God of Islam is contradictory beyond the ordinary categories (substantive or insubstantive) of truth. In order to demonstrate my thesis, I shall refer to a metaphysical and epistemological inquiry. In virtue of both of these inquires, I shall establish that the contradictory assumption ‘the God of Islam is absolutely ineffable’ cannot be false in a substantive or an insubstantive sense. The metaphysical inquiry shall comprise of two (...) related phases. The first phase includes logical realism and anti-realism, while the second phase includes ontological realism and ontological deflationism. I demonstrate that the contradictory assumption ‘the God of Islam is absolutely ineffable’ cannot be considered false in virtue of these outlooks for different reasons. The epistemological inquiry refers to epistemicism. I demonstrate that although this particular view infers an indeterminate truth-value of the contradictory assumption ‘the God of Islam is absolutely ineffable’, it is incompatible with the notion of an absolute ineffable God of Islam. In light of both these inquires, it will become apparent that the contradictory assumption of an absolute ineffable God of Islam cannot be false in a substantive or insubstantive sense. This is because an absolute ineffable God of Islam transcends beyond these very categories of falsehood and truth. (shrink)

The cuteness of the avant-garde -- Merely interesting -- The zany science.

Probably colour is the best worked-out example of allegedly neurophysiologically innate response categories determining percepts and percepts determining concepts, and hence biology fixing the basic categories implicit in the use of language. In this paper I argue against this view and I take C. L. Hardin's Color for Philosophers [1988] as my main target. I start by undermining the view that four unique hues stand apart from all other colour shades (Section 2) and the confidence that the solar (...) spectrum is naturally divided into four categories (Section 3). For such categories to be truly universal, they have to be true for all peoples and in Section 4 I show that Berlin and Kay's [1969] widely quoted theory of basic colour categories is not sufficiently supported to lend it any credibility.Having disposed of the view that inspection of language or ‘pure’ perception unveils the universal colour categories. I turn to neurophysiological and psychophysical theories of colour vision to see whether they provide a more solid basis for deciding what the innate response categories are. In Section 5 I show that Hardin's account of the opponent-process theory neither supports his view that ‘colour-coding’takes place early in the visual neural pathway, nor his view that knowledge of colour vision science will help us solve many philosophical mysteries about colour.In Section 6 I give a more detailed review of what is known today about the neurophysiology of colour vision and I show that there's nothing in the brain which could be called a colour module, let alone a module with homunculi for particular basic colour categories. In Section 7 I show that psychophysical models do not support such rigid constraints on category formation either. Hence (Section 8), at least in the case of colour, current science supports a plasticity in the formation of categories that goes far beyond the requirements of those naturalistic philosophers who would like to ground primitive concepts in biology. (shrink)

A classification of models of reduction into three categories — theory reductionism, explanatory reductionism, and constitutive reductionism — is presented. It is shown that this classification helps clarify the relations between various explications of reduction that have been offered in the past, especially if a distinction is maintained between the various epistemological and ontological issues that arise. A relatively new model of explanatory reduction, one that emphasizes that reduction is the explanation of a whole in terms of its parts (...) is also presented in detail. Finally, the classification is used to clarify the debate over reductionism in molecular biology. It is argued there that while no model from the category of theory reduction might be applicable in that case, models of explanatory reduction might yet capture the structure of the relevant explanations. (shrink)

James Van Cleve has argued that Kant’s Transcendental Deduction of the categories shows, at most, that we must apply the categories to experience. And this falls short of Kant’s aim, which is to show that they must so apply. In this discussion I argue that once we have noted the differences between the first and second editions of the Deduction, this objection is less telling. But Van Cleve’s objection can help illuminate the structure of the B Deduction, and (...) it suggests an interesting reason why the rewriting might have been thought necessary. (shrink)

Biology and Philosophy, forthcoming 2007.

This article proposes a number of models to examine through which mechanisms a population of autonomous agents could arrive at a repertoire of perceptually grounded categories that is sufficiently shared to allow successful communication. The models are inspired by the main approaches to human categorisation being discussed in the literature: nativism, empiricism, and culturalism. Colour is taken as a case study. Although we take no stance on which position is to be accepted as final truth with respect to human (...) categorisation and naming, we do point to theoretical constraints that make each position more or less likely and we make clear suggestions on what the best engineering solution would be. Specifically, we argue that the collective choice of a shared repertoire must integrate multiple constraints, including constraints coming from communication. Key Words: autonomous agents; colour categorisation; colour naming; connectionism; cultural evolution; genetic evolution; memes; origins of language; self-organisation; semiotic dynamics; symbol grounding. (shrink)

Recently, scholars and activists have turned their attention toward improving the measurement of sex and gender in survey research. The focus of this effort has been on including answer options beyond “male” and “female” to questions about the respondent’s gender. This is an important step toward both reflecting the diversity of gendered lives and better aligning survey measurement practice with contemporary gender theory. However, our systematic examination of questionnaires, manuals, and other technical materials from four of the largest and longest-running (...) surveys in the United States indicates that there are a number of other issues with how gender is conceptualized and measured in social surveys that also deserve attention, including essentialist practices that treat sex and gender as synonymous, easily determined by others, obvious, and unchanging over the life course. We find that these understandings extend well beyond direct questions about the respondent’s gender, permeating the surveys. A hyper-gendered world of “males” and “females,” “brothers” and “sisters,” and “husbands” and “wives” shapes what we can see in survey data. If not altered, surveys will continue to reproduce statistical representations that erase important dimensions of variation and likely limit understanding of the processes that perpetuate social inequality. (shrink)

In Division One of Being and Time Heidegger presents a novel categorization of what there is, and an original account of the project of ontology and consequently of the nature and genesis of those ontological categories. He officially recognizes two categories of Being: Zuhandensein and Vorhandensein. Vorhandene things are roughly the objective, person-independent, causally interacting subjects of natural scientific inquiry. Zuhandene things are those which a neo-Kantian would describe as having been imbued with human values and significances. In (...) addition to these categories, there is human Being, or Dasein, in whose structure the origins of the two thing-ish categories are to be found. This essay concerns itself with three of Heidegger’s conceptual innovations: his conceiving of ontology in terms of self-adjudicating anthropological categories, as summed up in the slogan that “fundamental ontology is the regional ontology of Dasein,” his corresponding anti-traditional assertion of the ontological priority of the domain of the Zuhandensein to that of the Vorhandensein, which latter is seen as rooted in or precipitated out of that more basic world of human significances, and the non-Cartesian account of awareness and classificatory consciousness as social and practical. (shrink)

Journal Name: Semiotica Issue: Ahead of print.

In his essay against Eberhard, Kant denies that there are innate concepts. Several scholars take Kant’s statement at face value. They claim that Kant did not endorse concept innatism, that the categories are not innate concepts, and that Kant’s views on innateness are significantly different from Leibniz’s. This paper takes issue with those claims. It argues that Kant’s views on the origin of the intellectual concepts are remarkably similar to Leibniz’s. Given two widespread notions of innateness, the dispositional notion (...) and the input/output notion, intellectual concepts are innate for Kant no less than for Leibniz. (shrink)

“Proof of concept” is a phrase frequently used in descriptions of research sought in program announcements, in experimental studies, and in the marketing of new technologies. It is often coupled with either a short definition or none at all, its meaning assumed to be fully understood. This is problematic. As a phrase with potential implications for research and technology, its assumed meaning requires some analysis to avoid it becoming a descriptive category that refers to all things scientifically exciting. I provide (...) a short analysis of proof of concept research and offer an example of it within synthetic biology. I suggest that not only are there activities that circumscribe new epistemological categories but there are also associated normative ethical categories or principles linked to the research. I examine these and provide an outline for an alternative ethical account to describe these activities that I refer to as “extended agency ethics”. This view is used to explain how the type of research described as proof of concept also provides an attendant proof of principle that is the result of decision-making that extends across practitioners, their tools, techniques, and the problem solving activities of other research groups. (shrink)

This paper uses sim-max games to model perceptual categorization with the goal of answering the following question: to what degree should we expect the perceptual categories of biological actors to track properties of the world around them? I will argue that an analysis of these games suggests that the relationship between real-world structure and evolved perceptual categories is mediated by successful action in the sense that organisms evolve to categorize together states of nature for which similar actions lead (...) to similar results. This conclusion indicates that both strongly realist and strongly anti-realist views about perceptual categories are too simple. (shrink)

The book investigates the relationship between the economic and political writings of four seminal authors: Adam Smith, Karl Marx, Joseph A. Schumpeter, and..

Dennis Schulting offers a thoroughgoing, analytic account of the first half of the Transcendental Deduction of the Categories in the B-edition of Kant's Critique of Pure Reason that is different from existing interpretations in at least one important aspect: its central claim is that each of the 12 categories is wholly derivable from the principle of apperception, which goes against the current view that the Deduction is not a proof in a strict philosophical sense and the standard reading (...) that in the Deduction Kant only gives an account of the global applicability of the categories to experience. This novel approach enables a reappraisal of Kant's controversial claim that transcendental self-consciousness is not only a necessary condition of objective experience but also sufficient for it. The book provides an extensive analysis of Kant's theory of transcendental apperception and also explains why the argument of the Transcendental Deduction is both a regressive and a progressive argument. (shrink)

One important thesis Ásta defends in Categories We Live By is that social properties and categories are somehow dependent on our thoughts, attitudes, or practices—that they are inventions of the mind, projected onto the world. Another important aspect of her view is that the social properties are related to certain base properties; an individual is placed in a category when the relevant base properties are thought to hold of them. I see the relationship between the social and the (...) base as connected to the problem of explaining how the social properties are sufficiently stable so as to be taken seriously, both in theoretical endeavors as well as in practical matters of how we relate to each other. In this light, I identify stability constraints for an adequate account of social categories. I argue that certain distinctive aspects of Ásta's conferralist view of social categories, such as the radical contextualism in her account of gender, undermine the stability of categories and are at odds with taking social categories seriously. I end with the suggestion that a distinctive “sheltered” form of normativity might help us do justice to Ásta's insights while avoiding some of the destabilizing elements of conferralism. (shrink)

Michael Wedin argues against the prevailing notion that Aristotle's views on the nature of reality are fundamentally inconsistent. According to Wedin's new interpretation, the difference between the early theory of the Categories and the later theory of the Metaphysics reflects the fact that Aristotle is engaged in quite different projects in the two works--the earlier focusing on ontology, and the later on explanation.

Building on influential work in virtue ethics, this collection of essays examines the categories of self, person, and anthropology as foci for comparative analysis. The papers unite reflections on theory and method with descriptive work that addresses thinkers from the modern West, Christian and Jewish Late Antiquity, early China, and other settings. The introduction sets out central methodological issues that are subsequently taken up in each essay, including the origin of the categories through which comparison proceeds, the status (...) of these categories in the process of comparison, and the goals of comparison. In considering the question of goals, the introduction draws connections between comparative study and historical study within one tradition. Both types of analysis can bridge the gap between historical and normative work by attending to the ways in which the questions a scholar asks - not just the answers found - vary from one context to another. (shrink)

Caster Semenya, a South African 18-year-old, won the 800-metre track running title at the Berlin World Athletics Championships in 2009. Only 3 h later, her gender was being harshly contested. The investigation of the International Association of Athletics Federations (IAAF) was neither discreet nor respectful of her privacy. Caster's case has implications for the ethics of sports and debates about gender and enhancement, and for the philosophical debate about the nature of categories and the classification of people. The IAAF (...) has not disclosed the results of their tests on Caster, and the South African Ministry of Sport has decreed that in any case she can continue running with women in her own country. But could a scientific or medical test offer uncontroversial answers regarding Caster's gender? The concept of ‘gender’ is partly a social construction. The authors argue that ethics may guide science and medicine at addressing such questions. (shrink)

I attempt to answer the question of what Aristotle's criteria for 'being a substance' are in the Categories. On the basis of close textual analysis, I argue that subjecthood, conceived in a certain way, is the criterion that explains why both concrete objects and substance universals must be regarded as substances. It also explains the substantial primacy of concrete objects. But subjecthood can only function as such a criterion if both the subjecthood of concrete objects and the subjecthood of (...) substance universals can be understood as philosophically significant phenomena. By drawing on Aristotle's essentialism, I argue that such an understanding is possible: the subjecthood of substance universals cannot simply be reduced to that of primary substances. Primary and secondary substances mutually depend on each other for exercising their capacities to function as subjects. Thus, subjecthood can be regarded as a philosophically informative criterion for substancehood in the Categories. (shrink)

There are deep divides over the use of racial and ethnic categories in biomedical research and its application in both medical and non-medical contexts. On one side of a roughly described dividing line are practitioners who need to use every piece of information at their disposal to solve pressing, realworld problems in real time, such as making clinical diagnoses or identifying perpetrators of crime. On the other side are scientists and policy makers committed to meeting a scientific and social (...) need for accuracy and thus trying to avoid miscategorization.As Jay Cohn describes in this issue, medical practitioners in particular have used racial and ethnic categories to “enhance diagnostic and therapeutic precision.” He argues for retaining this practice. The plea, motivated by genuine concern for patients, is to avoid “throwing the baby out with the bathwater.” However, Cohn and others mischaracterize the nature of the debate. The argument is not about whether differences among populations exist, or even whether differences among “races” exist. (shrink)

In focusing on the systematic deduction of the categories from a principle, Schulting takes up anew the controversial project of the eminent German Kant scholar Klaus Reich, whose monograph “The Completeness of Kant's Table of Judgments” made the case that the logical functions of judgement can all be derived from the objective unity of apperception and can be shown to link up with one another systematically. -/- Common opinion among Kantians today has it that Kant did not mean to (...) derive the functions of judgement, and accordingly the categories, from the principle of apperception. Schulting challenges this standard view and aims to resuscitate the main motivation behind Reich’s project. He argues, in agreement with Reich’s main thesis about the derivability of the functions of judgement, that Kant indeed does mean to derive, in full a priori fashion, the categories from the principle of apperception. -/- Schulting also shows that, given the general assumptions of the Critical philosophy, Kant's derivation is successful and that absent an account of the derivation of the categories from apperception, the B-Deduction cannot really be understood. -/- New edition. First published 2012 as „Kant’s Deduction and Apperception. Explaining the Categories" (Palgrave Macmillan). (shrink)

Building on influential work in virtue ethics, this collection of essays examines the categories of self, person, and anthropology as foci for comparative analysis. The papers unite reflections on theory and method with descriptive work that addresses thinkers from the modern West, Christian and Jewish Late Antiquity, early China, and other settings. The introduction sets out central methodological issues that are subsequently taken up in each essay, including the origin of the categories through which comparison proceeds, the status (...) of these categories in the process of comparison, and the goals of comparison. In considering the question of goals, the introduction draws connections between comparative study and historical study within one tradition. Both types of analysis can bridge the gap between historical and normative work by attending to the ways in which the questions a scholar asks - not just the answers found - vary from one context to another. (shrink)

Aristotle's views on the fundamental nature of reality are usually taken to be inconsistent. The two main sources for these views are the Categories and the central books of the Metaphysics, particularly book Zeta. In the early theory of the Categories the basic entities of the world are concrete objects such as Socrates: Aristotle calls them 'primary substances'. But the later theory awards this title to the forms of concrete objects. Michael Wedin proposes a compatibilist solution to this (...) long-standing puzzle, arguing that Aristotle is engaged in quite different projects in the two works. The theory of Metaphysics Zeta is meant to explain central features of the standing doctrine of the Categories, and so presupposes the essential truth of the early theory. The Categories offers a theory of underlying ontological configurations, while book Zeta gives form the status of primary substance because it is primarily the form of a concrete object that explains its nature, and this form is the substance of the object. So when the late theory identifies primary substance with form, it appeals to an explanatory primacy that is quite distinct from the ontological primacy that dominates the Categories. Wedin's new interpretation thus allows us to see the two treatises as complementing each other: they are parts of a unified history of substance. (shrink)

In almost every human society some people get more and others get less. Why is inequity the rule in human societies? Philosopher Cailin O'Connor reveals how cultural evolution works on social categories such as race and gender to generate unfairness.

A main function of common natures in Avicenna’s metaphysics is supposed to be providing an objective ground for the categories. Thus, it is commonly assumed that in his metaphysics things are objectively divided into the categories into which they are because members of each category share the same common nature. However, common natures cannot perform the function unless they are shared, in a real sense of the word, by the members of the respective categories, and it is (...) not clear at all in what real sense Avicenna took common natures to be shared by them. On the one hand, he rejected Platonic and Aristotelian realisms about common natures, the two standard accounts of how common natures are shared by their instances. On the other hand, it is unclear that his alternative account(s) of common natures renders them genuinely common. The primary goal of this paper is to examine whether Avicenna’s common natures can provide an objective ground for the categories. It considers various interpretations of Avicenna's account and argues that they are either incorrect interpretations of Avicenna or do not render common natures genuinely common. It concludes with proposing to look elsewhere in Avicenna’s system to find the objective ground. (shrink)

Despite their recent development, geo-ontologies represent a complicated conundrum for the different experts involved in their design. Computer scientists use ontologies for describing the meaning of data and their semantics in order to make information resources built for humans understandable also for artificial agents. Geographers pursue conceptualizations that describe the domain of interest in a way that should be accessible, informative, and complete for their final recipients. In this context, philosophers are not required to sketch the historical background of ontology. (...) Rather, they should offer conceptual solutions for carving nature at the joints and choosing how best to categorize and classify the different entities belonging to the geographical domain in question. Accordingly, the aim of this paper is to combine assumptions and requirements coming from these different areas of research in order to show what different categories might potentially complete the current domain of geo-ontologies. (shrink)